Building AI-powered applications using Postgres and DronaHQ involves leveraging low-code platforms to streamline the development process, enabling developers to focus on business logic rather than intricate coding details. This approach highlights the integration of AI and low-code solutions to enhance internal operations and improve workflow efficiency, particularly in lead management. Developers can use tools like Neon for data management and DronaHQ for frontend development, utilizing drag-and-drop elements to design user interfaces and seamlessly integrate AI features such as personalized email generation. By connecting platforms like OpenAI and Gmail, developers can automate tasks and create sophisticated applications without the complexities of traditional coding, ultimately improving user experiences and decision-making processes.